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Geometric aspects of the AdS/CFT correspondence

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arxiv hep-th/0403087 v2 pith:WNNWF6BG submitted 2004-03-08 hep-th gr-qcmath.DG

Geometric aspects of the AdS/CFT correspondence

classification hep-th gr-qcmath.DG
keywords aspectscorrespondencegravitationalareaclassicaldiscussfunctiongeometric
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We discuss classical gravitational aspects of the AdS/CFT correspondence, with the aim of obtaining a rigorous (mathematical) understanding of the semi-classical limit of the gravitational partition function. The paper surveys recent progress in the area, together with a selection of new results and open problems.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

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    Toric self-dual Einstein instantons with negative cosmological constant satisfying a global conformal Kähler extension condition are precisely the Calderbank-Pedersen-Singer multipole solutions.

  2. Flat from AdS: in any dimension and for any spin

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    Recovers Minkowski massless integer-spin solution space as smooth limit of AdS solution space for even dimensions via cosmological-constant expansion of source and vev.

  3. Radiation in Fluid/Gravity and the Flat Limit

    hep-th 2025-08 unverdicted novelty 6.0

    Establishes a holographic link between bulk gravitational radiation and dissipative corrections plus entropy production in boundary fluids, then constructs Carrollian analogues and celestial observables in the flat limit.